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Jan24Note - PHYS142 Lecture 8 Electric Potential Chapter 25...

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Electric Potential • Chapter 25 All sections except 8 25.1 Electric Potential and Potential Difference 25.2 Potential Difference in a Uniform Electric Field 25.3 Electric Potential and Potential Energy Due to Point Charges 25.4 Obtaining the Value of the Electric Field from the Electric Potential 25.5 Electric Potential Due to Continuous Charge Distributions 25.6 Electric Potential Due to a Charged Conductor 25.7 The Millikan Oil-Drop Experiment 2 PHYS142 Lecture 8

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Potential at a point, due to a collection of charges Use the superposition principle . V is a scalar quantity. algebraic addition. P r 1 r 2 r 3 Q 1 Q 2 Q 3 V p = V 1 + V 2 + V 3 3 3 2 2 1 1 p r Q k r Q k r Q k V e e e 3 i i i e r Q k V p More generally (25.12)
Electric Fields from Potentials (25.4) In most cases it is easier, experimentally or theoretically, to determine potential V (scalar) than electric field (vector). Then from: B A s d E V The components of the E-field can be obtained: dz dV E dy dV E dx dV E z y x , , 4

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Example 25.4:Electric field due to a electric dipole An electric dipole consists of two charges of equal magnitude and opposite sign separated by a distance 2a .The dipole is along the x axis and is centered at the origin. 0 ) ( 2
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Jan24Note - PHYS142 Lecture 8 Electric Potential Chapter 25...

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